382952813 has 2 divisors, whose sum is σ = 382952814. Its totient is φ = 382952812.

The previous prime is 382952803. The next prime is 382952821. The reversal of 382952813 is 318259283.

382952813 = 13837² + 13838².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191490244 + 191462569 = 13838^2 + 13837^2 .

It is a cyclic number.

It is not a de Polignac number, because 382952813 - 2⁶ = 382952749 is a prime.

It is a super-2 number, since 2×382952813² = 293305713969225938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382952803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191476406 + 191476407.

It is an arithmetic number, because the mean of its divisors is an integer number (191476407).

Almost surely, 2^382952813 is an apocalyptic number.

382952813 is the 13838-th centered square number.

It is an amenable number.

382952813 is a deficient number, since it is larger than the sum of its proper divisors (1).

382952813 is an equidigital number, since it uses as much as digits as its factorization.

382952813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 41.

The square root of 382952813 is about 19569.1801821129. The cubic root of 382952813 is about 726.1869185831.

The spelling of 382952813 in words is "three hundred eighty-two million, nine hundred fifty-two thousand, eight hundred thirteen".